Hexagon Inscribed In A Circle

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Question 1:

1 pts

A regular hexagon is inscribed in a circumvolve. If the radius of the circle is $five cm,$ what is the length of the side of the hexagon?

Question 2:

1 pts

A regular hexagon is inscribed in a circle. Find the surface area of the circle shown on the moving picture.

	$A=16\pi cm^{2}$
	$A=32\pi cm^{two}$
	$A=64\pi cm^{2}$

Question 3:

ane pts

A regular hexagon with area $ \dfrac{3\sqrt{3}}{2} m^{two}$ is inscribed in a circle. Observe the expanse of the circle.

	$A=2\pi m^{ii}$
	$A=\pi m^{2}$
	$A=4\pi m^{2}$
	$A=\dfrac{\pi}{2} m^{ii}$

Question 4:

i pts

A regular hexagon with a side length $10$ can be inscribed inside a circle of a radius $x$?

Question five:

ii pts

The area of a circle inscribed in a regular hexagon is $3\pi cm^{ii}$. Observe the surface area of described circle of that hexagon.

	$A=2\pi cm^{2}$
	$A=\pi cm^{2}$
	$A=4\pi cm^{2}$

Question 6:

two pts

The perimeter of the shaded figure shown on the flick is $$P=48\pi cm. $$

Question seven:

ii pts

Which expression tin be used to notice the area of a circle inscribed in a regular hexagon with a perimeter of $48cm$?

	$A={\left(4\sqrt{2}\correct)^{2}}\pi =32\pi cm^{2}$
	$A={\left(four\sqrt{3}\correct)^{2}}\pi =48\pi cm^{ii}$
	$A={\left(8\sqrt{6}\right)^{2}}\pi =384\pi cm^{2}$
	$A={\left(2\sqrt{3}\right)^{two}}\pi =xiv\pi cm^{ii}$

Question 8:

2 pts

If a regular hexagon is inscribed in a circle with a radius of $4 cm$, observe the area of the hexagon.

	$A=24\sqrt{two} cm^{2}$
	$A=eighteen\sqrt{3}\pi cm^{two}$
	$A=24\sqrt{iii}\pi cm^{2}$
	$A=xvi\sqrt{3}\pi cm^{2}$

Question 9:

2 pts

A circle is inscribed in a regular hexagon. A regular hexagon is inscribed in this circumvolve. Another circle is inscribed in the inner regular hexagon and and then on. What is the area of the third such circle if the length of the side of the outermost regular hexagon is 8 cm.

	$A=three\pi cm^{two}$
	$A=9\pi cm^{ii}$
	$A=27\pi cm^{ii}$
	$A=36\pi cm^{2}$

Question 10:

3 pts

In a circle of radius $three$ the equilateral triangle $ABC$ is inscribed, and the points $X, Y$ and $Z$ are diametrically opposite to $A, B$ and $C$ (respect) . Find the perimeter of the hexagon $AZBXCY.$

$A=$

Question eleven:

3 pts

A circumvolve is inscribed within a regular hexagon in such a way that the circle touches all sides of the hexagon at exactly i betoken per side. Another circle is drawn to connect all the vertices of the hexagon. Expressed as a fraction, what is the ratio of the area of the smaller circumvolve to the surface area of the larger circle?

	$3:iv$
	$\sqrt{3}:three$
	$3:\sqrt{ii}$
	$4:3$

Question 12:

3 pts

A regular hexagon of a side $12cm$ is inscribed in a circle. Another circle is in turn inscribed in the hexagon. What is the area of the region betwixt the ii circles?

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